Question

simplify each of the following and express each as rational number​

Answer 1

Hey there!

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Answer:

→ $\sf{\bigg(\dfrac{3}{2}\bigg)^{4} \times \bigg(\dfrac{1}{5}\bigg)^{2}}$

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→ $\sf{\dfrac{81}{16} \bigg(\dfrac{1}{5}\bigg)^{2}}$

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→ $\sf{\dfrac{81}{16} \bigg(\dfrac{1}{25}\bigg)}$

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→ ${\boxed{\bold{\dfrac{81}{400}}}}$

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Simplified decimal form:

→ $\sf{0.2025}$

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Thanks!